{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Underfitting vs. Overfitting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adapted from http://scikit-learn.org/stable/auto_examples/model_selection/plot_underfitting_overfitting.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example demonstrates the problems of underfitting and overfitting and how we can use linear regression with polynomial features to approximate nonlinear functions. The plot shows the function that we want to approximate, which is a part of the cosine function. In addition, the samples from the real function and the approximations of different models are displayed. The models have polynomial features of different degrees. We can see that a linear function (polynomial with degree 1) is not sufficient to fit the training samples. This is called underfitting. A polynomial of degree 4 approximates the true function almost perfectly. However, for higher degrees the model will overfit the training data, i.e. it learns the noise of the training data. We evaluate quantitatively overfitting / underfitting by using cross-validation. We calculate the mean squared error (MSE) on the validation set, the higher, the less likely the model generalizes correctly from the training data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Fontconfig warning: line 146: blank doesn't take any effect anymore. please remove it from your fonts.conf\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "PyObject <class 'sklearn.linear_model.base.LinearRegression'>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using ScikitLearn, PyPlot\n",
    "using ScikitLearn.CrossValidation: cross_val_score\n",
    "using ScikitLearn.Pipelines: Pipeline\n",
    "\n",
    "@sk_import preprocessing: PolynomialFeatures\n",
    "@sk_import linear_model: LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x32baeec10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "srand(2)\n",
    "\n",
    "n_samples = 30\n",
    "degrees = [1, 4, 15]\n",
    "\n",
    "true_fun(X) = cos.(1.5 * pi * X)\n",
    "X = sort(rand(n_samples))\n",
    "y = true_fun(X) + randn(n_samples) * 0.1\n",
    "\n",
    "figure(figsize=(14, 5))\n",
    "for (i, degree) in enumerate(degrees)\n",
    "    ax = subplot(1, length(degrees), i)\n",
    "    setp(ax, xticks=(), yticks=())\n",
    "\n",
    "    polynomial_features = PolynomialFeatures(degree=degree, include_bias=false)\n",
    "    linear_regression = LinearRegression()\n",
    "    pipeline = Pipeline([(\"polynomial_features\", polynomial_features),\n",
    "                         (\"linear_regression\", linear_regression)])\n",
    "    fit!(pipeline, hcat(X), y)\n",
    "\n",
    "    # Evaluate the models using crossvalidation\n",
    "    scores = cross_val_score(pipeline, hcat(X), y, scoring=\"mean_squared_error\", cv=10)\n",
    "\n",
    "    X_test = linspace(0, 1, 100)\n",
    "    plot(X_test, predict(pipeline, hcat(X_test)), label=\"Model\")\n",
    "    plot(X_test, true_fun(X_test), label=\"True function\")\n",
    "    scatter(X, y, label=\"Samples\")\n",
    "    xlabel(\"x\")\n",
    "    ylabel(\"y\")\n",
    "    xlim((0, 1))\n",
    "    ylim((-2, 2))\n",
    "    legend(loc=\"best\")\n",
    "    title(@sprintf(\"Degree %d\\nMSE = %.2e +/- %.2e\", degree, -mean(scores), std(scores)))\n",
    "end"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.0-pre.alpha",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
